One-loop unquenched three-gluon and ghost-gluon vertex in the Curci-Ferrari model

Abstract

In this article we study the unquenched three-gluon and ghost-gluon vertex in all momentum range going from the ultraviolet to the infrared regime using the Curci-Ferrari model at one-loop in Landau gauge as an extension of the results presented in \cite{Pelaez:2013cpa}. Results are compared with recent lattice data for $SU(3)$ in the unquenched case. This calculation is a pure prediction of the model because it does not require fixing any parameter once two-point functions are fitted. An analysis of the influence of dynamical quarks in the position of the zero crossing of the three-gluon vertex is presented. Due to the recent improvements in infrared lattice data for the quenched three-gluon correlation function \cite{Aguilar:2021lke} we also redo the comparison between our one-loop results in this limit and the lattice obtaining a very good match.

13 pages, 9 figures

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Cited by in corpus (7)

• QCD Running Couplings and Effective Charges
• Two-loop three-gluon vertex from the Curci-Ferrari model and its leading infrared behavior to all loop orders
• Four-gluon vertex from the Curci-Ferrari model at one-loop order
• Small parameters in infrared QCD: The pion decay constant
• Ghost-gluon vertex in the presence of the Gribov horizon: General kinematics
• QCD phase diagram from the gluon propagator at finite temperature and density
• Parton distribution and fragmentation functions with massive gluons